Solve 100*10^6/sqrt{3(20*10^3)}

$$\frac { 100 \times 10 ^ { 6 } } { \sqrt { 3 } ( 20 \times 10 ^ { 3 } ) }$$

Evaluate

$$\frac{5000\sqrt{3}}{3}\approx 2886.751345948$$

Solution Steps

Cancel out 20\times 10^{3} in both numerator and denominator.

$$\frac{5\times 10^{3}}{\sqrt{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{5\times 1000}{\sqrt{3}}$$

Multiply 5 and 1000 to get 5000.

$$\frac{5000}{\sqrt{3}}$$

Rationalize the denominator of \frac{5000}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{5000\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{5000\sqrt{3}}{3}$$